Proposition: Prop. 10.019: Product of Rational Numbers is Rational
The rectangle contained by rational straight lines (which are) commensurable in length is rational.
* For let the rectangle $AC$ have been enclosed by the rational straight lines $AB$ and $BC$ (which are) commensurable in length.
* I say that $AC$ is rational.
(not yet contributed)
Table of Contents
Proofs: 1 2 3 4 5 6 7 8 9
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"
Adapted from CC BY-SA 3.0 Sources:
- Prime.mover and others: "Pr∞fWiki", https://proofwiki.org/wiki/Main_Page, 2016